Floating Unit – Volume (can be taught any time after Unit 6)
Students will be able to:
Identify parts of cylinders, cones and spheres (e.g. radius, height)
Know and use formulas for volume of cylinders, cones and spheres to solve real-world and mathematical problems
Days
Section
Lesson Title/Lesson Objectives
1
14.1
Problems 1-4, 6
Characteristics of Cylinders & Calculating Volumes of Cylinders (create/find an assignment – don’t like Carnegie assignment)
2
14.1
Problem 5
Scaling volumes of cylinders (create/find an assignment)
3
14.2
Develop Formula for Volume of a Cone (in development activity, make sure to point out that cylinder & cone figures have same base & same height)
4
Using the formula for the volume of cones/Solve for volume, height, and radius
5
14.3
Volume of a Sphere (typo on Problem 2 formula of hemisphere)/Solve for volume and radius
6
14.4
Problems 1, 2, 4
Volume Problems/Calculate volumes of figures composed of cylinders, spheres and cones
7
14.4
Problem 3, 5
Volume Problems/As a class, create table and graph of Problem 3 part 2 to show radius of cone as a function of its height for a nice contrast with linear functions.
Students will be able to:
Problems 1-4, 6
Problem 5
Problems 1, 2, 4
Problem 3, 5
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